GCD of 894, 456, 189, 156 Calculator

Given Input numbers are 894, 456, 189, 156

In the factoring method, we have to find the divisors of all numbers

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (894, 456, 189, 156) = 3.

Given numbers are 894, 456, 189, 156

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 894, 456, 189, 156 is 3.

Given numbers are 894, 456, 189, 156

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(894, 456) = 67944

GCD(894, 456) = ( 894 x 456 ) / 67944

= 894 / 456

= 894

Step2:

LCM(6, 189) = 378

GCD(6, 189) = ( 6 x 189 ) / 378

= 6 / 189

= 6

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 894, 456, 189, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 846, 973, 237
• GCD of 196, 519, 556, 484
• GCD of 839, 593, 724, 996
• GCD of 317, 907, 134, 161
• GCD of 346, 670, 719, 395

Given numbers are 894, 456, 189, 156
The greatest common divisor of numbers 894, 456, 189, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 456, 189, 156 is 3.

1. What is the GCD of 894, 456, 189, 156?

GCD of given numbers 894, 456, 189, 156 is 3

2. How to calculate the greatest common divisor of 894, 456, 189, 156?

We can find the highest common divisor of 894, 456, 189, 156 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 894, 456, 189, 156 i.e 3.

3. How can I use the GCD of 894, 456, 189, 156Calculator?

Out the numbers 894, 456, 189, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.